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Finding the Third Proportional to 326,234.25 and 718,686

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Solution

The third proportional to 326,234.25 and 718,686 is: 1,583,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,234.25 : 718,686 = 718,686 : x
  2. Step 2: Convert to fraction form
    326,234.25/718,686 = 718,686/x
  3. Step 3: Cross multiply
    326,234.25x = 718,686 × 718,686
  4. Step 4: Simplify right side
    326,234.25x = 516,509,566,596
  5. Step 5: Solve for x
    x = 516,509,566,596/326,234.25
  6. Step 6: Final answer
    x = 1,583,247.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.